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stiks02 [169]
2 years ago
10

What is the radian measure of a 150° angle?

Mathematics
1 answer:
jolli1 [7]2 years ago
8 0
Well, since we know that in π radians there are 180°, then how many radians in 150°?

\bf \begin{array}{ccll}
radians&de grees\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
\pi &180\\
x&150
\end{array}\implies \cfrac{\pi }{x}=\cfrac{180}{150}\implies \cfrac{\pi \cdot 150}{180}\implies \stackrel{simplified}{\cfrac{5\pi }{6}}
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